204 citations · 422 across the 26 of their papers we have counts for
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An integral equation-based numerical solver for Taylor states in toroidal geometries
Michael O'Neil, Antoine J. Cerfon
We develop an algorithm for the numerical calculation of Taylor states in toroidal and toroidal shell geometries using an analytical framework developed for the solution to the tim…
Accurate and efficient numerical calculation of stable densities via optimized quadrature and asymptotics
Sebastian Ament, Michael O'Neil
Stable distributions are an important class of infinitely-divisible probability distributions, of which two special cases are the Cauchy distribution and the normal distribution. A…
Robust integral formulations for electromagnetic scattering from three-dimensional cavities
Jun Lai, Leslie Greengard, Michael O'Neil
Scattering from large, open cavity structures is of importance in a variety of electromagnetic applications. In this paper, we propose a new well conditioned integral equation for…
Fast algorithms for Quadrature by Expansion I: Globally valid expansions
Manas Rachh, Andreas Klöckner, Michael O'Neil
The use of integral equation methods for the efficient numerical solution of PDE boundary value problems requires two main tools: quadrature rules for the evaluation of layer poten…